Pith Number

pith:S6T6BMWR

pith:2022:S6T6BMWRXXEDSCJOURZ2CQXYNP

not attested not anchored not stored refs pending

Patterson-Sullivan theory for groups with a strongly contracting element

R\'emi Coulon

arxiv:2206.07361 v6 · 2022-06-15 · math.GR · math.DS · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6T6BMWRXXEDSCJOURZ2CQXYNP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Ergodic cocycles in hyperbolic and Hadamard spaces

Receipt and verification

First computed	2026-07-05T07:30:43.818491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97a7e0b2d1bdc839092ea473a142f86bd3cac86a16255a44d0d855c30da4900c

Aliases

arxiv: 2206.07361 · arxiv_version: 2206.07361v6 · doi: 10.48550/arxiv.2206.07361 · pith_short_12: S6T6BMWRXXED · pith_short_16: S6T6BMWRXXEDSCJO · pith_short_8: S6T6BMWR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/S6T6BMWRXXEDSCJOURZ2CQXYNP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 97a7e0b2d1bdc839092ea473a142f86bd3cac86a16255a44d0d855c30da4900c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf185d43a1deb13913ca0a53605d0405a0677b3ab36c0c3e4e5e85e8853dd91",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-06-15T08:16:59Z",
    "title_canon_sha256": "45ad4a32f27cf85aa2caef287e883de29749f176fa4ccfedc2835779c4fe6320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07361",
    "kind": "arxiv",
    "version": 6
  }
}